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Social network dynamics of face-to-face interactions

Kun Zhao1, Juliette Stehlé2, Ginestra Bianconi1, and Alain Barrat2,3

  • 1Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA
  • 2Centre de Physique Théorique, CNRS (UMR 6207) et Université d’Aix-Marseille, Campus de Luminy, Case 907, F-13288 Marseille cedex 9, France
  • 3Complex Networks and Systems Group, Institute for Scientific Interchange (ISI), Torino 10133, Italy

Phys. Rev. E 83, 056109 – Published 12 May, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.056109

Abstract

The recent availability of data describing social networks is changing our understanding of the “microscopic structure” of a social tie. A social tie indeed is an aggregated outcome of many social interactions such as face-to-face conversations or phone calls. Analysis of data on face-to-face interactions shows that such events, as many other human activities, are bursty, with very heterogeneous durations. In this paper we present a model for social interactions at short time scales, aimed at describing contexts such as conference venues in which individuals interact in small groups. We present a detailed analytical and numerical study of the model’s dynamical properties, and show that it reproduces important features of empirical data. The model allows for many generalizations toward an increasingly realistic description of social interactions. In particular, in this paper we investigate the case where the agents have intrinsic heterogeneities in their social behavior, or where dynamic variations of the local number of individuals are included. Finally we propose this model as a very flexible framework to investigate how dynamical processes unfold in social networks.

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